1) N3 - 1, where N is 1,2,3...
so 13 -1 = 0, 23 -1 = 7, 33 -1 = 26, 43 -1 = 63, 53 -1 = 124, 63 -1 = 215
Answer 215
2) 6,15,31,56,?
6 + 3^2 = 15
15 + 4^2 = 31
31 + 5^2 = 56
56 +6^2 = 92
Answer is 92
3) 448, 294, 180 , 100 , ?
7 * 8^2 = 7 * 64 = 448
6 * 7^2 = 6 * 49 = 294
5 * 6^2 = 5* 36 = 180
4 * 5^2 - 4 * 25 = 100
3 * 4^2 = 3*16 = 48
So next number is 48
4) 8, 17, 33, ? , ?
17 -8 = 9 = 3^2
33 - 17 = 16 = 4^2
next will be 33 + 5^2 = 33 + 25 = 58
and then 58 + 6^2 = 58 + 36 = 94
5) 13, 17, 25 , ? , ?
1
13 + 2^2 = 17
17 + 2^3 = 25
25 + 2^4 = 41
41 + 2^5 = 73
Next two are thus 41 and 73